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Finding the Fourth Proportional to 257,109.64, 354,831.78 and 189,435.76

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Solution

The fourth proportional to 257,109.64, 354,831.78 and 189,435.76 is: 261,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,109.64 : 354,831.78 = 189,435.76 : x
  2. Step 2: Convert to fraction form
    257,109.64/354,831.78 = 189,435.76/x
  3. Step 3: Cross multiply
    257,109.64x = 354,831.78 × 189,435.76
  4. Step 4: Simplify right side
    257,109.64x = 67,217,827,916.45
  5. Step 5: Solve for x
    x = 67,217,827,916.45/257,109.64
  6. Step 6: Final answer
    x = 261,436.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.